Question

用公式分解因式

1.A³-12A²B+36AB²
2.(X²+4)²-16X²

Answer 1

1.A³-12A²B+36AB²
=A(A²-12AB+36B²)
完全平方
=A(A-6B)²

2.(X²+4)²-16X²
平方差
=(X²+4+4X)(X²+4-4X)
完全平方
=(X+2)²(X-2)²

Answer 2

1.A³-12A²B+36AB²
=A（A^2-12AB+36B²)
=A(A-6B）^2

2.(X²+4)²-16X²
=X^4+8X^2+16-16X^2
=X^4-8X^2+16
=(X²-4)^2
=(X+2)^2(X-2)^2

Answer 3

1 A(A-6B)^2
2 (X²+4-4X)(X²+4+4X)
=(X-2)^2*(2+x)^2
=(X^2-4)^2